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We present a systematic derivation of a data-parallel implementation of two-level, static and collision-free hash maps, by giving a functional formulation of the Fredman et al. construction, and then flattening it. We discuss the challenges…

Programming Languages · Computer Science 2025-08-18 William Henrich Due , Martin Elsman , Troels Henriksen

We present a novel programming language design that attempts to combine the clarity and safety of high-level functional languages with the efficiency and parallelism of low-level numerical languages. We treat arrays as eagerly-memoized…

Message-passing based concurrent languages are widely used in developing large distributed and coordination systems. This paper presents the buffered $\pi$-calculus --- a variant of the $\pi$-calculus where channel names are classified into…

Logic in Computer Science · Computer Science 2012-12-27 Xiaojie Deng , Yu Zhang , Yuxin Deng , Farong Zhong

We present a system for the automatic differentiation of a higher-order functional array-processing language. The core functional language underlying this system simultaneously supports both source-to-source automatic differentiation and…

Mathematical Software · Computer Science 2018-06-07 Amir Shaikhha , Andrew Fitzgibbon , Dimitrios Vytiniotis , Simon Peyton Jones , Christoph Koch

We present FooPar, an extension for highly efficient Parallel Computing in the multi-paradigm programming language Scala. Scala offers concise and clean syntax and integrates functional programming features. Our framework FooPar combines…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-14 Felix P. Hargreaves , Daniel Merkle

This paper presents a novel approach to automatically verify properties of pure data-parallel programs with non-linear indexing -- expressed as pre- and post-conditions on functions. Programs consist of nests of second-order array…

Programming Languages · Computer Science 2025-07-01 Nikolaj Hey Hinnerskov , Robert Schenck , Cosmin E. Oancea

We describe a methodology for designing efficient parallel and distributed scientific software. This methodology utilizes sequences of mechanizable algebra--based optimizing transformations. In this study, we apply our methodology to the…

Software Engineering · Computer Science 2008-11-18 Harry B. Hunt , Lenore R. Mullin , Daniel J. Rosenkrantz , James E. Raynolds

Large volumes of data generated by scientific experiments and simulations come in the form of arrays, while programs that analyze these data are frequently expressed in terms of array operations in an imperative, loop-based language. But,…

Databases · Computer Science 2020-03-24 Leonidas Fegaras , Md Hasanuzzaman Noor

Parallel functional array languages are an emerging class of programming languages that promise to combine low-effort parallel programming with good performance and performance portability. We systematically compare the designs and…

Incremental computations attempt to exploit input similarities over time, reusing work that is unaffected by input changes. To maximize this reuse in a general-purpose programming setting, programmers need a mechanism to identify dynamic…

Programming Languages · Computer Science 2021-03-24 Matthew A. Hammer , Jana Dunfield , Kyle Headley , Monal Narasimhamurthy , Dimitrios J. Economou

The Python package fluidfft provides a common Python API for performing Fast Fourier Transforms (FFT) in sequential, in parallel and on GPU with different FFT libraries (FFTW, P3DFFT, PFFT, cuFFT). fluidfft is a comprehensive FFT framework…

Mathematical Software · Computer Science 2019-04-11 Ashwin Vishnu Mohanan , Cyrille Bonamy , Pierre Augier

We present Decalf, a directed, effectful cost-aware logical framework for studying quantitative aspects of functional programs with effects. Like Calf, the language is based on an internal phase distinction between the behavior of a program…

Programming Languages · Computer Science 2026-05-22 Harrison Grodin , Yue Niu , Jonathan Sterling , Robert Harper

We present an Integer Linear Programming based approach to finding the optimal fusion strategy for combinator-based parallel programs. While combinator-based languages or libraries provide a convenient interface for programming parallel…

Programming Languages · Computer Science 2024-07-19 David van Balen , Gabriele Keller , Ivo Gabede Wolff , Trevor L. McDonell

Program translation refers to migrating source code from one programming language to another. It has tremendous practical value in software development, as porting software across languages is time-consuming and costly. Automating program…

Software Engineering · Computer Science 2023-05-08 Wasi Uddin Ahmad , Md Golam Rahman Tushar , Saikat Chakraborty , Kai-Wei Chang

Multivariate partial fractioning is a powerful tool for simplifying rational function coefficients in scattering amplitude computations. Since current research problems lead to large sets of complicated rational functions, performance of…

High Energy Physics - Phenomenology · Physics 2022-12-19 Dominik Bendle , Janko Boehm , Murray Heymann , Rourou Ma , Mirko Rahn , Lukas Ristau , Marcel Wittmann , Zihao Wu , Yang Zhang

We introduce process-oriented programming as a natural extension of object-oriented programming for parallel computing. It is based on the observation that every class of an object-oriented language can be instantiated as a process,…

Programming Languages · Computer Science 2014-07-22 Edward Givelberg

Although computational complexity is a fundamental aspect of program behavior, it is often at odds with common type theoretic principles such as function extensionality, which identifies all functions with the same $\textit{input-output}$…

Programming Languages · Computer Science 2020-11-11 Yue Niu , Robert Harper

A large amount of numerically-oriented code is written and is being written in legacy languages. Much of this code could, in principle, make good use of data-parallel throughput-oriented computer architectures. Loo.py, a…

Programming Languages · Computer Science 2015-05-19 Andreas Klöckner

We present FunTAL, the first multi-language system to formalize safe interoperability between a high-level functional language and low-level assembly code while supporting compositional reasoning about the mix. A central challenge in…

Programming Languages · Computer Science 2017-11-13 Daniel Patterson , Jamie Perconti , Christos Dimoulas , Amal Ahmed

We present a new approach for building source-to-source transformations that can run on multiple programming languages, based on a new way of representing programs called incremental parametric syntax. We implement this approach in Haskell…

Programming Languages · Computer Science 2018-10-03 James Koppel , Varot Premtoon , Armando Solar-Lezama
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